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math.GR2007
A lower bound for the number of conjugacy classes of finite groups
Thomas Michael Keller
In 2000, L. Héthelyi and B. Külshammer proved that if is a prime number dividing the order of a finite solvable group , then has at least conjugacy classes…
math.RT2007
Counting characters in linear group actions
Thomas Michael Keller
Let be a finite group and be a finite --module. We present upper bounds for the cardinalities of certain subsets of $\Irr(GV)$, such as the set of those $χ\in\Irr(GV)$ s…